CATERPILLAR CAPER: Fans of “The Very Hungry Caterpillar” won’t want to miss “Treasured Stories by Eric Carle,” a glow-in-the-dark puppet show presented by the Mermaid Theatre of Nova Scotia. Perfect for a very first play! 11 a.m. and 2 p.m., $15 to $25. Symphony Space, 2537 Broadway, at 95th Street; 212-864-5400, symphonyspace.org

BATTER UP: You’ll go from frightened to fascinated (or maybe the other way around) at the American Museum of Natural History’s “Live Bat Encounter,” where biologist and bat expert Rob Mies will introduce kids to winged wonders from around the world. 11 a.m. (for ages 5 and under), 1 and 2:30 p.m.; $12 ($10 for members). Central Park West at 79th Street; 212-769-5100, amnh.org

GO FISH: Oz wasn’t the only magical, musical land created by L. Frank Baum. Based on Baum’s nautical novel “The Sea Fairies,” “A Mermaid’s Tale” at the Triad Theatre is all about a young girl’s journey to an enchanted underwater realm just as fantastic and whimsical as a certain wizard’s domain. 3 p.m., $20 to $30. 158 W. 72nd St., between Broadway and Columbus Avenue; 212-362-2590, triadnyc.com

TOMORROW

MONKEY BUSINESS: Catchy tunes are guaranteed whenever the Funkey Monkeys are around; the band was founded by Joshua Sitron, who composed all the music for “Dora the Explorer.” But don’t worry, we promise they won’t play any songs about Swiper or the Map during their family concert at the Jewish Museum. 11:30 a.m., $18 for adults, $13 for kids. 1109 Fifth Ave., at 92nd Street; 212-423-3200, thejewishmuseum.org

ENCHANTED: Harry Potter: The Exhibition is back at Discovery Times Square, this time with props, costumes and scenery from all the films in the series, including a vignette dedicated to the final battle of Hogwarts. 10 a.m. to 8 p.m., $19.50 for kids, $25 for adults. 226 W. 44th St., between Broadway and Eighth Avenue; 866-987-9692, discoveryts.com